Question

Write the equation of the line described that passes through (-6,8), perpendicular to y = 5x - 15

Pls answer this

Answer 1

• y = - 0.2x + 6.8

Explanation:

Perpendicular lines have negative reciprocal slopes

Given line

• y = 5x - 15

Perpendicular line is

• y = - 1/5x + b

Using given point (-6, 8), finding y-intercept

• 8 = - 1/5*(-6) + b
• 8 = 6/5 + b
• b + 1/2 = 8
• b = 8 - 1.2
• b = 6.8

So the line is

• y = - 0.2x + 6.8